对于具有相同定义域D的函数f(x)和g(x),若存在函数h(x)=kx+b(k,b为常数),对任给的正数m,存在相应的x
∈D,使得当x∈D且x>x
时,总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102526801605790/SYS201311031025268016057014_ST/0.png)
,则称直线l:y=kx+b为曲线y=f(x)和y=g(x)的“分渐近线”.给出定义域均为D={x|x>1}的四组函数如下:
①f(x)=x
2,g(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102526801605790/SYS201311031025268016057014_ST/1.png)
;
②f(x)10
-x+2,g(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102526801605790/SYS201311031025268016057014_ST/2.png)
;
③f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102526801605790/SYS201311031025268016057014_ST/3.png)
,g(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102526801605790/SYS201311031025268016057014_ST/4.png)
;
④f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102526801605790/SYS201311031025268016057014_ST/5.png)
,g(x)=2(x-1-e
-x)
其中,曲线y=f(x)和y=g(x)存在“分渐近线”的是
.
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